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steph76812
10.01.2021 •
Mathematics
A tree cast a shadow 64 feet long. At the same time, a girl 5 feet tall
standing near the tree cast a shadow that is 8 feet long. Which of the
following represents the height of the tree?
F. 61 feet
G. 51 feet
H. 40 feet
J. 25 feet
Solved
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Ответ:
40 feet represents the height of the tree ⇒ H
Step-by-step explanation:
Let us solve the question using the proportional
∵ A tree casts a shadow 64 feet long
∴ L
= 64 feet
∵ At the same time, a girl 5 feet tall standing near the tree
∴ H
= 5 feet
∵ She casts a shadow that is 8 feet long
∴ L
= 8 feet
The ratios between the shadows and the heights of the tree and the girl are proportional
∵
= ![\frac{L_{T}}{L_{G}}](/tpl/images/1024/8598/b6128.png)
→ Substitute their values in the equivalent ratios
∴
=
→ By using cross multiplication
∴ H
× 8 = 5 × 64
∴ 8H
= 320
→ Divide both sides by 8
∴ H
= 40 feet
∴ 40 feet represents the height of the tree
Ответ:
3. 49
4. 101
Step-by-step explanation:
3) 180-51-63
= 66
180 - 66 = 44
4) 180 - 86-45 = 49
180 - 49 - 30 =101